{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "01d66067",
   "metadata": {},
   "source": [
    "# Simulated Data Generation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "503fa3af",
   "metadata": {},
   "source": [
    "This notebook will explain how to generate the simulated dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06d8b060",
   "metadata": {},
   "source": [
    "We first generate a Directed Acyclic Graph (DAG)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "30267833",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "from pyrca.simulation.data_gen import DAGGenConfig, DAGGen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "7acc4c69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_matrix = DAGGen(DAGGenConfig()).gen()\n",
    "G = nx.DiGraph(graph_matrix)\n",
    "\n",
    "# transform node names from 0 to N-1 to X1 to XN\n",
    "no_of_var = graph_matrix.shape[0]\n",
    "original_names = [i for i in range(no_of_var)]\n",
    "node_names = [(\"X%d\" % (i + 1)) for i in range(no_of_var)]\n",
    "mapping = dict(zip(original_names, node_names))\n",
    "G = nx.relabel_nodes(G, mapping)\n",
    "\n",
    "nx.draw(G, with_labels = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe7c2059",
   "metadata": {},
   "source": [
    "Given the causal graph, we generate data of each node via its Structural Causal Model (SCM). Specifically, $x_{i} = \\sum_{x_{j} \\in Pa(x_i)} A_{ij} f_i(x_j) +  \\beta_i * noise_i$.\n",
    "\n",
    "Here, $A_{ij}$ and $\\beta_i$ are parent weights and noise weights, respectively. They are randomly generated via either normal distribution or uniform distribution. We can also select the noise type and function type."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "07f7fd2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyrca.simulation.data_gen import DataGenConfig, DataGen\n",
    "\n",
    "config = DataGenConfig(dag=graph_matrix, func_type='square', noise_type='laplace', weight_generator='normal')\n",
    "normal_data, parent_weights, noise_weights, func_form, noise_form = DataGen(config).gen()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "bd0f15b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-6.45346205e+14,  9.95071471e+00,  2.61017917e+07, ...,\n",
       "         2.70886158e+00,  4.89874005e-04, -1.02040755e+00],\n",
       "       [-3.03372140e+80,  2.14116335e+20,  1.78962396e+40, ...,\n",
       "         2.32309096e+00, -3.23375881e-01, -3.59206763e+00],\n",
       "       [-1.71486163e+03, -1.49018187e+01,  3.98093187e+01, ...,\n",
       "        -3.43994736e-01, -6.60491201e-01, -3.43036142e+00],\n",
       "       ...,\n",
       "       [-1.22163244e+28,  1.25327544e+02,  1.13564925e+14, ...,\n",
       "        -1.33148991e-01, -1.64537688e-02, -1.23441129e+00],\n",
       "       [-2.31478742e+22,  2.84533756e+04,  1.56325381e+11, ...,\n",
       "        -6.22024816e-01,  5.88810085e-01,  4.11518695e-01],\n",
       "       [-4.15987543e+21,  4.12006784e+05,  6.62695622e+10, ...,\n",
       "        -8.40857256e-01,  5.61372890e-01,  1.44187539e-01]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "normal_data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16dde9b5",
   "metadata": {},
   "source": [
    "Then, we consider to inject faults into the normal distribution to generate abnormal data. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b89c36c5",
   "metadata": {},
   "source": [
    "We first compute the baseline of Service Level Indicator (SLI) and the threshold for differentiating normal and anomaly data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0c07333a",
   "metadata": {},
   "outputs": [],
   "source": [
    "_SLI = 0\n",
    "tau = 3\n",
    "baseline = normal_data[_SLI, :].mean()\n",
    "sli_sigma = normal_data[_SLI, :].std()\n",
    "threshold = tau * sli_sigma"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "622246e3",
   "metadata": {},
   "source": [
    "We can choose one of three ways to inject anomaly. Type 0 is to change the weight of noise term. Type 1 is to add a constant shift to noise term. Type 2 is to change the weight of parent nodes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7793218c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyrca.simulation.data_gen import AnomalyDataGenConfig, AnomalyDataGen\n",
    "\n",
    "config = AnomalyDataGenConfig(parent_weights=parent_weights, \n",
    "                              noise_weights=noise_weights, \n",
    "                              func_type=func_form,\n",
    "                              noise_type=noise_form,\n",
    "                              threshold=threshold,\n",
    "                              baseline=baseline, \n",
    "                              anomaly_type=0)\n",
    "anomaly_data, fault = AnomalyDataGen(config).gen()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "587ecde4",
   "metadata": {},
   "source": [
    "Finally, we plot the graph with root causes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "4ab9db6d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The generated graph: True is directed and acyclic.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# constructure networkx graph from adjacent matrix\n",
    "G = nx.DiGraph(graph_matrix)\n",
    "\n",
    "# transform node names from 0 to N-1 to X1 to XN\n",
    "no_of_var = graph_matrix.shape[0]\n",
    "original_names = [i for i in range(no_of_var)]\n",
    "node_names = [(\"X%d\" % (i + 1)) for i in range(no_of_var)]\n",
    "mapping = dict(zip(original_names, node_names))\n",
    "G = nx.relabel_nodes(G, mapping)\n",
    "\n",
    "# label the root cause nodes \n",
    "no_of_var = graph_matrix.shape[0]\n",
    "color_list = np.array(['blue','red'])\n",
    "node_color_idx = np.zeros(no_of_var).astype(int)\n",
    "node_color_idx[fault != 0] = 1\n",
    "node_color = color_list[node_color_idx]\n",
    "print(f\"The generated graph: {nx.is_directed_acyclic_graph(G)} is directed and acyclic.\")\n",
    "nx.draw(G, with_labels = True, node_color=node_color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d8685121",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
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